Dissipation in fermionic two-body continuous-time quantum walk under the steepest entropy ascent formalism
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912650335617024 |
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| author | Ray, Rohit Kishan Srikanth, R. Majumder, Sonjoy |
| author_facet | Ray, Rohit Kishan Srikanth, R. Majumder, Sonjoy |
| contents | Quantum walks play a crucial role in quantum algorithms and computational problems. Many-body quantum walks can reveal and exploit quantum correlations that are unavailable for single-walker cases. Studying quantum walks under noise and dissipation, particularly in multi-walker systems, has significant implications. In this context, we use a thermodynamically consistent formalism of dissipation modeling, namely the steepest entropy ascent (SEA) formalism. We analyze two spinless fermionic continuous-time walkers on a 1D graph with tunable Hubbard and extended Hubbard-like interactions. By contrasting SEA-driven dynamics with unitary evolution, we systematically investigate how interaction strengths modulate thermalization and entropy production. Our findings highlight the relevance of SEA formalism in modeling nonlinear dissipation in many-body quantum systems and its implications for quantum thermalization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18489 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dissipation in fermionic two-body continuous-time quantum walk under the steepest entropy ascent formalism Ray, Rohit Kishan Srikanth, R. Majumder, Sonjoy Quantum Physics Quantum walks play a crucial role in quantum algorithms and computational problems. Many-body quantum walks can reveal and exploit quantum correlations that are unavailable for single-walker cases. Studying quantum walks under noise and dissipation, particularly in multi-walker systems, has significant implications. In this context, we use a thermodynamically consistent formalism of dissipation modeling, namely the steepest entropy ascent (SEA) formalism. We analyze two spinless fermionic continuous-time walkers on a 1D graph with tunable Hubbard and extended Hubbard-like interactions. By contrasting SEA-driven dynamics with unitary evolution, we systematically investigate how interaction strengths modulate thermalization and entropy production. Our findings highlight the relevance of SEA formalism in modeling nonlinear dissipation in many-body quantum systems and its implications for quantum thermalization. |
| title | Dissipation in fermionic two-body continuous-time quantum walk under the steepest entropy ascent formalism |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.18489 |